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Finding the Fourth Proportional to 8,111.89, 11,194.86 and 4,574.44

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Solution

The fourth proportional to 8,111.89, 11,194.86 and 4,574.44 is: 6,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.89 : 11,194.86 = 4,574.44 : x
  2. Step 2: Convert to fraction form
    8,111.89/11,194.86 = 4,574.44/x
  3. Step 3: Cross multiply
    8,111.89x = 11,194.86 × 4,574.44
  4. Step 4: Simplify right side
    8,111.89x = 51,210,215.38
  5. Step 5: Solve for x
    x = 51,210,215.38/8,111.89
  6. Step 6: Final answer
    x = 6,312.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.